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Q1: Find a polynomial that interpolates the following data using Newton Divided Difference Method. X f(x) 2 3 4 5 5 1 6 6 7

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Q1: Find a polynomial that interpolates the following data using Newton Divided Difference Method. X f(x) 2 3 4 5 5 1 6 6 7 9 Q2: Find a polynomial to interpolate the following data, using both the Newton's divided difference interpolation method and the Lagrangian interpolation method. Compare both results. x 0 1 1 3 2 2 3 5 4 4 Q3: Control the results you obtained for Q1 and Q2 using the following Matlab code (you may need to change the data points according to the given values): Nddp.m data=[1.0 0.7651977; 1.3 0.6200860; 1.6 0.4554022; 1.9 0.2818186; 2.2 0.1103623]; x =data(:,1); y=data(:,2); [d]=Divided_diff(x,y); d function [d]=Divided_diff(x,y) d=y; n=length(x); for j=2:n for k=n:-1:j d(k)=(d(k)-d(k-1))/(x(k)-x(k-j+1)); end end

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